1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tasya [4]
3 years ago
8

If shown, AB and CD are straight lines. Find x in each case.

Mathematics
1 answer:
nlexa [21]3 years ago
4 0

Answer:

x = 60

Step-by-step explanation:

Vertical opposite angles are formed when two straight lines intersect each other.

Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:

∠AOD = ∠COB (Vertical opposite angles are congruent)

∠AOE = 90° (right angle)

∠DOE = x

∠COF = 30°

∠BOF = 2x

m∠AOE + m∠DOE = m∠AOD (angle addition postulate)

90 + x = ∠AOD (Substitution)

m∠COF + m∠BOF = m∠COB (Angle addition postulate)

30 + 2x = ∠COB

m∠AOD = m∠COB (vertical opposite angles)

90 + x = 30 + 2x (Substitution)

Collect like terms

90 - 30 = 2x - x

60 = x

x = 60

You might be interested in
Can someone help me please
Juli2301 [7.4K]

Answer: Option B

Step-by-step explanation:

       Prooving congruent through HL means that we can prove the hypotenuse and one of the legs between the two right-triangles are congruent. The only answer option that meets these requirements is option B.

       <em>Read more about the </em><em>HL Theorem</em><em> here:</em>

               <em>brainly.com/question/1446688</em>

7 0
2 years ago
- Brainliest- friend me.A spinner is divided into four equal sections. Which situation can be represented using this simulation?
Verdich [7]

Answer:

im pretty sure its 2 answers

both a and c

hope this helps!!

5 0
3 years ago
7 3/9 - 2 4/9 =<br>11 3/4 - 5 1/4 =​
jeka57 [31]

1.)

7 \frac{3}{9}  - 2 \frac{4}{9}  \\  =  \frac{66}{9}  -  \frac{22}{9}  \\  =  \frac{44}{9}  \\  = 4 \frac{8}{9}

2.)

11 \frac{3}{4}  - 5 \frac{1}{4}  \\  =  \frac{47}{4}  -  \frac{21}{4}  \\  =  \frac{26}{4}  \\  =  \frac{13}{2}  \\  = 6 \frac{1}{2}

<em>Hope it helps and is useful :)</em>

6 0
3 years ago
Which is parallel to y = 3x − 5?
nikklg [1K]
The answer is y=3x-6!!!!!
7 0
3 years ago
Jose works 30 hrs each week. At the end of 6 months (26weeks), he made $31,20. How much does Jose make per hour?
Ludmilka [50]

Answer:

Jose makes $4 per hour

Step-by-step explanation:

1. 30x26=780

2. 3120 divide by 780=4

6 0
3 years ago
Other questions:
  • Square root of 23 + 7
    5·1 answer
  • Please Help!
    13·2 answers
  • The simplest form of √98/√2 is
    8·1 answer
  • Mateo read the thermometer this evening. The temperature was 52 degrees. This temperature was 3 degrees less than the temperatur
    8·2 answers
  • Without graphing, find the slope of the line that goes through the points, and write an equation for the line in slope-intercept
    15·1 answer
  • Please Help Thanks You ;)
    12·1 answer
  • Carlos borrowed $4000 from a lender that charged simple interest at an annual rate of 7%. When Carlos paid off the loan, he paid
    13·1 answer
  • Pls help asappp ill put u as brainlist! TYTY
    6·1 answer
  • I NEED HELP ASAP PLEASE HELP ME.
    12·1 answer
  • What is the circumcenter of a triangle with the coordinates of (-3,3) (-3,-2) (1,-2)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!